Search a number
-
+
52809537945569 is a prime number
BaseRepresentation
bin11000000000111101011011…
…01111111111111111100001
320220222112122111110200200212
430000132231233333333201
523410212413203224234
6304152211122023505
714060235403056536
oct1400365557777741
9226875574420625
1052809537945569
1115910443479309
125b0aa134a7b95
132360bc1c93792
14d07dd1066d8d
15618a6d46c5ce
hex3007adbfffe1

52809537945569 has 2 divisors, whose sum is σ = 52809537945570. Its totient is φ = 52809537945568.

The previous prime is 52809537945559. The next prime is 52809537945601. The reversal of 52809537945569 is 96554973590825.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50545175097169 + 2264362848400 = 7109513^2 + 1504780^2 .

It is a cyclic number.

It is not a de Polignac number, because 52809537945569 - 220 = 52809536896993 is a prime.

It is a super-2 number, since 2×528095379455692 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52809537945569.

It is not a weakly prime, because it can be changed into another prime (52809537945509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26404768972784 + 26404768972785.

It is an arithmetic number, because the mean of its divisors is an integer number (26404768972785).

Almost surely, 252809537945569 is an apocalyptic number.

It is an amenable number.

52809537945569 is a deficient number, since it is larger than the sum of its proper divisors (1).

52809537945569 is an equidigital number, since it uses as much as digits as its factorization.

52809537945569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3674160000, while the sum is 77.

The spelling of 52809537945569 in words is "fifty-two trillion, eight hundred nine billion, five hundred thirty-seven million, nine hundred forty-five thousand, five hundred sixty-nine".